14x^2+-110x+84=0

Solution for 14x^2+-110x+84=0 equation:

14x^2+-110x+84=0

We add all the numbers together, and all the variables

14x^2-110x=0

a = 14; b = -110; c = 0;
Δ = b2-4ac
Δ = -1102-4·14·0
Δ = 12100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12100}=110$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-110}{2*14}=\frac{0}{28}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+110}{2*14}=\frac{220}{28}
=7+6/7
$